Levandovskyy, Viktor; Schönemann, Hans; Zeid, Karim Abou Letterplace – a subsystem of Singular for computations with free algebras via letterplace embedding. (English) Zbl 1514.68327 Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 305-311 (2020). MSC: 68W30 13-04 14-04 PDFBibTeX XMLCite \textit{V. Levandovskyy} et al., in: Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC '20, Kalamata, Greece, July 20--23, 2020. New York, NY: Association for Computing Machinery (ACM). 305--311 (2020; Zbl 1514.68327) Full Text: DOI
Kreuzer, Martin; Sipal, Bilge; Long, Le Ngoc On the regularity of the monomial point of a border basis scheme. (English) Zbl 1451.13081 Beitr. Algebra Geom. 61, No. 3, 515-532 (2020). Reviewer: Francesca Cioffi (Napoli) MSC: 13P10 14C05 14Q99 13C05 PDFBibTeX XMLCite \textit{M. Kreuzer} et al., Beitr. Algebra Geom. 61, No. 3, 515--532 (2020; Zbl 1451.13081) Full Text: DOI
Horáček, Jan; Kreuzer, Martin; Messeng Ekossono, Ange-Salomé A signature based border basis algorithm. (English) Zbl 1474.13056 Math. Comput. Sci. 14, No. 1, 177-189 (2020). MSC: 13P10 06E99 13P15 PDFBibTeX XMLCite \textit{J. Horáček} et al., Math. Comput. Sci. 14, No. 1, 177--189 (2020; Zbl 1474.13056) Full Text: DOI
Hashemi, Amir; Kreuzer, Martin; Pourkhajouei, Samira Computing coupled border bases. (English) Zbl 1454.13048 Math. Comput. Sci. 14, No. 1, 123-140 (2020). MSC: 13P10 68W30 PDFBibTeX XMLCite \textit{A. Hashemi} et al., Math. Comput. Sci. 14, No. 1, 123--140 (2020; Zbl 1454.13048) Full Text: DOI
Horáček, Jan; Kreuzer, Martin On conversions from CNF to ANF. (English) Zbl 1432.68600 J. Symb. Comput. 100, 164-186 (2020). MSC: 68W30 06E30 13P10 68R07 94D10 PDFBibTeX XMLCite \textit{J. Horáček} and \textit{M. Kreuzer}, J. Symb. Comput. 100, 164--186 (2020; Zbl 1432.68600) Full Text: DOI
Hashemi, Amir; Kreuzer, Martin; Pourkhajouei, Samira Computing all border bases for ideals of points. (English) Zbl 1498.13069 J. Algebra Appl. 18, No. 6, Article ID 1950102, 23 p. (2019). MSC: 13P10 14N05 68W30 PDFBibTeX XMLCite \textit{A. Hashemi} et al., J. Algebra Appl. 18, No. 6, Article ID 1950102, 23 p. (2019; Zbl 1498.13069) Full Text: DOI arXiv
Braun, Gábor; Pokutta, Sebastian A polyhedral characterization of border bases. (English) Zbl 1332.13021 SIAM J. Discrete Math. 30, No. 1, 239-265 (2016). Reviewer: Amir Hashemi (Isfahan) MSC: 13P10 65H10 12Y05 90C27 68R05 14Q15 PDFBibTeX XMLCite \textit{G. Braun} and \textit{S. Pokutta}, SIAM J. Discrete Math. 30, No. 1, 239--265 (2016; Zbl 1332.13021) Full Text: DOI arXiv
Ullah, E.; Abbas Khan, S. Computing border bases using mutant strategies. (Russian, English) Zbl 1313.13040 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 1, 170-170 (2014); translation in Comput. Math. Math. Phys. 54, No. 1, 177-183 (2014). MSC: 13P10 68W30 PDFBibTeX XMLCite \textit{E. Ullah} and \textit{S. Abbas Khan}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 1, 170--170 (2014; Zbl 1313.13040); translation in Comput. Math. Math. Phys. 54, No. 1, 177--183 (2014) Full Text: DOI
Studzinski, Grischa Implementation and applications of fundamental algorithms relying on Gröbner bases in free associative algebras. (English) Zbl 1316.16033 Aachen: RWTH Aachen Univ., Fakultät für Mathematik, Informatik und Naturwissenschaften (Diss.). 114 p. (2013). MSC: 16Z05 16-04 16S10 13P10 68W30 PDFBibTeX XMLCite \textit{G. Studzinski}, Implementation and applications of fundamental algorithms relying on Gröbner bases in free associative algebras. Aachen: RWTH Aachen Univ., Fakultät für Mathematik, Informatik und Naturwissenschaften (Diss.) (2013; Zbl 1316.16033) Full Text: Link
Kaspar, Stefan Computing border bases without using a term ordering. (English) Zbl 1266.13019 Beitr. Algebra Geom. 54, No. 1, 211-223 (2013). Reviewer: John Perry (Hattiesburg) MSC: 13P10 68W30 PDFBibTeX XMLCite \textit{S. Kaspar}, Beitr. Algebra Geom. 54, No. 1, 211--223 (2013; Zbl 1266.13019) Full Text: DOI arXiv
Kreuzer, Martin; Robbiano, Lorenzo The geometry of border bases. (English) Zbl 1216.13018 J. Pure Appl. Algebra 215, No. 8, 2005-2018 (2011). Reviewer: Morgan Sherman (San Luis Obispo) MSC: 13P10 14D20 13D10 14C05 14D15 PDFBibTeX XMLCite \textit{M. Kreuzer} and \textit{L. Robbiano}, J. Pure Appl. Algebra 215, No. 8, 2005--2018 (2011; Zbl 1216.13018) Full Text: DOI arXiv
Kreuzer, Martin; Poulisse, Henk Subideal border bases. (English) Zbl 1219.13017 Math. Comput. 80, No. 274, 1135-1154 (2011). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13P10 14Q99 68W30 41A10 65D05 PDFBibTeX XMLCite \textit{M. Kreuzer} and \textit{H. Poulisse}, Math. Comput. 80, No. 274, 1135--1154 (2011; Zbl 1219.13017) Full Text: DOI arXiv
Fassino, Claudia Almost vanishing polynomials for sets of limited precision points. (English) Zbl 1203.13029 J. Symb. Comput. 45, No. 1, 19-37 (2010). Reviewer: Alyson Reeves (Bowie) MSC: 13P10 65H10 14Q99 26C10 PDFBibTeX XMLCite \textit{C. Fassino}, J. Symb. Comput. 45, No. 1, 19--37 (2010; Zbl 1203.13029) Full Text: DOI arXiv
Kreuzer, Martin; Poulisse, Hennie; Robbiano, Lorenzo From oil fields to Hilbert schemes. (English) Zbl 1191.13034 Robbiano, Lorenzo (ed.) et al., Approximate commutative algebra. Berlin: Springer (ISBN 978-3-211-99313-2/pbk; 978-3-211-99314-9/e-book). Texts and Monographs in Symbolic Computation, 1-54 (2009). MSC: 13P25 13P15 13P10 14C05 PDFBibTeX XMLCite \textit{M. Kreuzer} et al., in: Approximate commutative algebra. Berlin: Springer. 1--54 (2009; Zbl 1191.13034) Full Text: DOI
Heldt, Daniel; Kreuzer, Martin; Pokutta, Sebastian; Poulisse, Hennie Approximate computation of zero-dimensional polynomial ideals. (English) Zbl 1176.13003 J. Symb. Comput. 44, No. 11, 1566-1591 (2009). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 13P10 14Q99 PDFBibTeX XMLCite \textit{D. Heldt} et al., J. Symb. Comput. 44, No. 11, 1566--1591 (2009; Zbl 1176.13003) Full Text: DOI